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Finding the Third Proportional to 330,621 and 510,999

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Solution

The third proportional to 330,621 and 510,999 is: 789,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,621 : 510,999 = 510,999 : x
  2. Step 2: Convert to fraction form
    330,621/510,999 = 510,999/x
  3. Step 3: Cross multiply
    330,621x = 510,999 × 510,999
  4. Step 4: Simplify right side
    330,621x = 261,119,978,001
  5. Step 5: Solve for x
    x = 261,119,978,001/330,621
  6. Step 6: Final answer
    x = 789,786.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.